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Name: A random sample of women is obtained, and each person in the sample is
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Description: A random sample of women is obtained, and each person in the sample is asked if she would purchase a new shoe model. The new shoe model would be successful in meeting corporate profit objective if more than 25% of the women in the population would pu

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A random sample of women is obtained, and each person in the sample is asked if she would purchase a new shoe model. The new shoe model would be successful in meeting corporate profit objective if more than 25% of the women in the population would purchase this shoe model. The following hypothesis test can be performed at a level of α = 0.03 using p̂ as the sample proportion of women who said yes.
H₀ :P ≤ 0.25
H₁ :P > 0.25

What value of the sample proportion, p̂, is required to reject the null hypothesis, given the following sample sizes?
a. n = 400 c. n = 625
b. n = 225 d. n = 900

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